On the codimension of the abnormal set in step two Carnot groups
Differential Geometry
2018-01-09 v3 Optimization and Control
Abstract
In this article we prove that the codimension of the abnormal set of the endpoint map for certain classes of Carnot groups of step 2 is at least three. Our result applies to all step 2 Carnot groups of dimension up to 7 and is a generalisation of a previous analogous result for step 2 free nilpotent groups.
Keywords
Cite
@article{arxiv.1709.02854,
title = {On the codimension of the abnormal set in step two Carnot groups},
author = {Alessandro Ottazzi and Davide Vittone},
journal= {arXiv preprint arXiv:1709.02854},
year = {2018}
}